MathDB
Putnam 2014 B3

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December 8, 2014
Putnampigeonhole principlevectorPutnam matricesPutnam 2014

Problem Statement

Let AA be an m×nm\times n matrix with rational entries. Suppose that there are at least m+nm+n distinct prime numbers among the absolute values of the entries of A.A. Show that the rank of AA is at least 2.2.
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